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Finding the Fourth Proportional to 418.74, 627.51 and 235.86

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Solution

The fourth proportional to 418.74, 627.51 and 235.86 is: 353.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.74 : 627.51 = 235.86 : x
  2. Step 2: Convert to fraction form
    418.74/627.51 = 235.86/x
  3. Step 3: Cross multiply
    418.74x = 627.51 × 235.86
  4. Step 4: Simplify right side
    418.74x = 148,004.51
  5. Step 5: Solve for x
    x = 148,004.51/418.74
  6. Step 6: Final answer
    x = 353.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.